Volume II, Algebra: The Machinery
The year algebra acquires moving parts. Index laws derived rather than memorised, brackets opened and closed again, and the first inequalities, where an answer becomes a region.
$79one volume
Volume I · Algebra
Volume II
Volume I · Algebra: The Language
Where symbols stop being decoration and start being arguments. Substitution, the balance method, and the first sequences a child can predict rather than continue.
Pages
61
Format
2 PDF editions
Access
Lifetime
Delivery
Instant
Overview
This is the whole Year 7 algebra year, rebuilt in the order the subject was actually built. Fifty-seven pages take a student from the language of algebra to solving equations, rearranging formulae, finding the rule behind a sequence and reading a graph, then into an Exam Lab that rehearses all of it under timed conditions.
It can be read in an evening, or worked through properly across a weekend for a lasting grip on the year. Every calculation and worked solution has been verified, and the coverage is checked against the shared core of the UK, US, Canadian, Australian, New Zealand and Singapore programs.
Look inside
Six pages from the volume. Open the reader to turn between them, and to switch the same page between the Study and Screen editions.
Who it’s for
- Students in Year 7, US Grade 6, ages 11 to 12, who want the whole year in one place
- Parents looking for a rigorous, screen-light revision resource that actually gets used
- Stronger students ready to stretch into Level 3 material such as both-sides equations and midpoints
- Anyone moving between the UK, US, Canada, Australia, New Zealand or Singapore systems
Topics included
- The Language of Algebra: variables, notation, order of operations, substitution, building expressions
- Simplify and Transform: like terms, multiplying terms, expanding brackets, factorising
- Solving Equations: the balance method, one and two step, brackets, letters on both sides
- Formulae: using formulae, writing your own, changing the subject
- Sequences and Patterns: term-to-term rules, the nth term, growing patterns, function machines
- Coordinates and Graphs: the grid, plotting lines from rules, line families, real-world graphs
- The Exam Lab: word problems, a 24-question mixed review, the Mistake Museum, exam day, reference plates
What your child will be able to do
- Read and write algebraic expressions with confidence and correct notation
- Solve linear equations reliably, including equations with the unknown on both sides
- Find the nth term of a linear sequence and use it to predict any term
- Substitute into and rearrange formulae without losing signs or steps
- Recognise the classic mistakes examiners set, and avoid them under pressure
What’s inside
Formula library
Glowing formula cards: the rule, what it means, when to use it, why it works, and a worked example.
3-level worked examples
Every method shown at three levels of difficulty, so the step up is never a cliff.
Trap-and-fix pairs
The wrong working beside the right working, so misconceptions get corrected on sight.
23 numbered key facts
The non-negotiables of the year, numbered 01-23 for fast last-minute review.
The Mistake Museum
A curated gallery of the errors that cost real marks, each one defused.
Exam Lab and reference plates
The LAUNCH method, timed missions, a 24-question mixed review with solutions, and two reference plates.
Frequently asked questions
Is this an instant download?
Yes. The moment your payment is confirmed, your PDF unlocks on the confirmation screen and a secure download link is emailed to you. No waiting, no manual approval.
What format is the file?
A typeset, print-ready A4 PDF of 57 pages in seven parts. It opens on any phone, tablet or computer and prints cleanly at home if your child prefers paper.
Which curriculum does it follow?
It covers the shared core of Year 7, US Grade 6, algebra across the UK, US, Canada, Australia, New Zealand and Singapore systems, cross-checked against Oak National Academy units. No single exam board is assumed.
How do I pay, and in which currency?
Checkout accepts card, PayPal and wallets. Prices display and charge in US dollars.
If it is not what I expected
Write to hello@insightbay.net and I will put it right. Your licence is for your own family: yours to keep and print for your household, not to resell or redistribute.
If it is not what you expected
A Field Guide is delivered as a PDF the moment payment is confirmed. If a volume is not what you expected, write to hello@insightbay.net and I will put it right. Your licence is for your own family: yours to keep and print for your household, not to resell or redistribute. Payments are processed securely by Razorpay and PayPal, and Insight Bay never sees or stores your card details.
Where it stops
This volume assumes nothing and starts at the beginning, which means a student already fluent with substitution and the balance method will find the first three parts familiar. If that describes your child, begin at Volume II.
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